RADICALS OF SKEW POLYNOMIAL AND SKEW LAURENT POLYNOMIAL RINGS OVER SKEW ARMENDARIZ RINGS

被引：7

作者：

Nasr-Isfahani, A. R. ^{[1
,2
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 03期

关键词：

Armendariz ring; Jacobson radical; Prime radical; Skew Laurent polynomial rings; Skew polynomial rings; 16S36; 16N40; 16N20; EXTENSIONS;

D O I：

10.1080/00927872.2012.738746

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we study radicals of skew polynomial ring R[x; ] and skew Laurent polynomial ring R[x, x(-1); ], for a skew-Armendariz ring R. In particular, among the other results, we show that for an skew-Armendariz ring R, J(R[x; ])=N-0(R[x; ])=Ni-*(R)[x; ] and J(R[x, x(-1); ])=N-0(R[x, x(-1); ])=Ni-*(R)[x, x(-1); ].

引用

页码：1337 / 1349

页数：13

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